Evaluation of the Degree of the Orthogonality of 2-level Resolution-V Designs Constructed by Balanced ArraysKim, Sang-Ik;

Abstract

Balanced arrays which are generalized orthogonal arrays, introduced by Chakravarti (1956) can be used to construct the fractional factorial designs. Especially for 2-level factorials, balanced arrays with strength 4 are identical to the resolution-V fractional designs. In this paper criteria for evaluation the degree of the orthogonality of balanced arrays of 2-levels with strength 4 are developed and some application methods of the suggested criteria are discussed. As a result, in this paper, we introduce the constructing methods of near orthogonal saturated balanced resolution-V fractional 2-level factorial designs.

Srivastava, J. N. and Chopra, D. V.(1971). On the characteristic roots of the information matrix of $2^m$ balanced factorial designs of resolution-V, with Applications. The Annals of Mathematical Statistics, 42, 722-734